Atkin-Lehner |
2+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920f |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2107812500000000 = 28 · 514 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33236,737260] |
[a1,a2,a3,a4,a6] |
Generators |
[-1542:1117:8] |
Generators of the group modulo torsion |
j |
15860726074525264/8233642578125 |
j-invariant |
L |
2.8665927877832 |
L(r)(E,1)/r! |
Ω |
0.40840801936635 |
Real period |
R |
7.0189435605741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999826152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53960b2 |
Quadratic twists by: -4 |